Simplify the expression: $$(3x^2)^4$$

$$3^4 x^{2 \times 4} = 81x^8$$ .

Simplify the expression: $$(4y^2)^2$$

$$4^2 y^{2 \times 2} = 16y^4$$ .

What is the quotient of powers rule in exponents?

When dividing two powers with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$ .

What is the relationship between fractional exponents and roots?

A fractional exponent represents a root: @@a^{rac{m}{n}} = oot{n}{a^m}@@.

What is the definition of an exponent?

An exponent indicates how many times to multiply a number by itself: $$a^n = a \times a \times ... \times a (n times)$$ .

Simplify the expression: $$(x^2y^3)^3$$

$$x^{2 \times 3} y^{3 \times 3} = x^6 y^9$$ .

What is the significance of a base in exponents?

The base is the number being multiplied, and the exponent indicates how many times it is multiplied by itself.

Simplifying Exponents - Flashcard Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the product of powers rule in exponents?

Back

2.

FLASHCARD QUESTION

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Back

3.

FLASHCARD QUESTION

Front

What is the power of a power rule in exponents?

Back

4.

FLASHCARD QUESTION

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Back

5.

FLASHCARD QUESTION

Front

What does it mean to rewrite an expression using a positive exponent?

Back

6.

FLASHCARD QUESTION

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Back

7.

FLASHCARD QUESTION

Front

What is the zero exponent rule?

Back

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